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Finding the Fourth Proportional to 582.12, 873.29 and 257.49

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Solution

The fourth proportional to 582.12, 873.29 and 257.49 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.12 : 873.29 = 257.49 : x
  2. Step 2: Convert to fraction form
    582.12/873.29 = 257.49/x
  3. Step 3: Cross multiply
    582.12x = 873.29 × 257.49
  4. Step 4: Simplify right side
    582.12x = 224,864.09
  5. Step 5: Solve for x
    x = 224,864.09/582.12
  6. Step 6: Final answer
    x = 386.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.